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Finding the Fourth Proportional to 745,754,364,023.90, 1,118,631,546,035.90 and 745,754,364,023.90

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Solution

The fourth proportional to 745,754,364,023.90, 1,118,631,546,035.90 and 745,754,364,023.90 is: 1,118,631,546,035.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,754,364,023.90 : 1,118,631,546,035.90 = 745,754,364,023.90 : x
  2. Step 2: Convert to fraction form
    745,754,364,023.90/1,118,631,546,035.90 = 745,754,364,023.90/x
  3. Step 3: Cross multiply
    745,754,364,023.90x = 1,118,631,546,035.90 × 745,754,364,023.90
  4. Step 4: Simplify right side
    745,754,364,023.90x = 834,224,357,191,074,545,926,144
  5. Step 5: Solve for x
    x = 834,224,357,191,074,545,926,144/745,754,364,023.90
  6. Step 6: Final answer
    x = 1,118,631,546,035.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.